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Finding the Third Proportional to 103,428 and 165,941

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Solution

The third proportional to 103,428 and 165,941 is: 266,237.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,428 : 165,941 = 165,941 : x
  2. Step 2: Convert to fraction form
    103,428/165,941 = 165,941/x
  3. Step 3: Cross multiply
    103,428x = 165,941 × 165,941
  4. Step 4: Simplify right side
    103,428x = 27,536,415,481
  5. Step 5: Solve for x
    x = 27,536,415,481/103,428
  6. Step 6: Final answer
    x = 266,237.53

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.